Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with $g-$Natural Metrics

Authors : Murat ALTUNBAŞ

Pages : 95-103

Doi:10.36890/iejg.1145729

View : 56 | Download : 7

Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :Let $insert ignore into journalissuearticles values(M,g);$ be a Riemannian manifold and $insert ignore into journalissuearticles values(TM,\\tilde{g});$ be its tangent bundle with the $g-$natural metric. In this paper, a family of metallic Riemannian structures $J$ is constructed on $TM,$ found conditions under which these structures are integrable. It is proved that $insert ignore into journalissuearticles values(TM,\\tilde{g},J);$ is decomposable if and only if $insert ignore into journalissuearticles values(M,g);$ is flat.
Keywords : g natural metric, metallic Riemannian structure, tangent bundle

ORIGINAL ARTICLE URL